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Finding the Fourth Proportional to 8,305.78, 11,456.94 and 4,946.35

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Solution

The fourth proportional to 8,305.78, 11,456.94 and 4,946.35 is: 6,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.78 : 11,456.94 = 4,946.35 : x
  2. Step 2: Convert to fraction form
    8,305.78/11,456.94 = 4,946.35/x
  3. Step 3: Cross multiply
    8,305.78x = 11,456.94 × 4,946.35
  4. Step 4: Simplify right side
    8,305.78x = 56,670,035.17
  5. Step 5: Solve for x
    x = 56,670,035.17/8,305.78
  6. Step 6: Final answer
    x = 6,822.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.